Soft Intersection Nearsemirings and Its Algebraic Applications

Abstract

In this manuscript, we introduce soft int-nearsemirings by utilizing the intersection operation of sets. We study the set theoretic characteristics of nearsemirings with the effects of soft set intersection operations. Soft int sub-nearsemirings, soft int-ideals ( $$SI$$ -ideals), soft int- $$c$$ -ideals ( $$SI{-}c$$ -ideals) are also introduced and discussed. We inter-relate the characteristics of nearsemirings and $$SI$$ -nearsemirings by applying different types of soft set product operations. Finally, we present few structural characteristics of $$SI$$ -ideals and $$SI{-}c$$ -ideals.